第6章 6.12

z=f(x,y)z = f_{(x,y)} x=a+btx = a+bt y=c+dty = c+dt

x′=bx' = b y′=dy' = d

dzdt=bdfdx+ddfdy\frac{dz}{dt} = b\frac{df}{dx} + d\frac{df}{dy}

d2zdt2=b2d2fdx2+2bdd2fdxdy+d2d2fdy2\frac{d^2z}{dt^2} = b^2\frac{d^2f}{dx^2} + 2bd\frac{d^2f}{dxdy} + d^2\frac{d^2f}{dy^2}

解説: r31bn1z